Intro to Modulo

  • 8th Grade
Reviewed by Cierra Henderson
Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Attempts: 20 | Questions: 10 | Updated: Jan 20, 2026
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1) If 22 ÷ 4 = 5 remainder r, what is r?

Explanation

22=4×5+2.

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About This Quiz
Intro To Modulo - Quiz

What happens when numbers don’t divide evenly? That’s where modulo comes in! In this quiz, you’ll explore what “mod” really means, practice finding remainders, and try simple problems like a mod n. Take this quiz to build your foundation in modular arithmetic and get confident working with remainders.

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2) What is 17 mod 5?

Explanation

17=5×3+2. The remainder is 2.

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3) What is 25 mod 7?

Explanation

25=7×3+4.

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4) Compute 40 mod 9.

Explanation

40=9×4+4.

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5) What is 19 mod 6?

Explanation

19=6×3+1.

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6) Which is the same as 29 mod 10?

Explanation

29=10×2+9.

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7) What is 81 mod 9?

Explanation

81 is a multiple of 9 → remainder 0

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8) Find 73 mod 6.

Explanation

73=6×12+1.

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9) Find 100 mod 12.

Explanation

100=12×8+4.

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10) Compute 55 mod 8.

Explanation

55=8×6+7.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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If 22 ÷ 4 = 5 remainder r, what is r?
What is 17 mod 5?
What is 25 mod 7?
Compute 40 mod 9.
What is 19 mod 6?
Which is the same as 29 mod 10?
What is 81 mod 9?
Find 73 mod 6.
Find 100 mod 12.
Compute 55 mod 8.
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